| Daubechies小波函数特征对MRTD算法的影响性分析 |
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| 引用本文： | 李学锋,权赫.Daubechies小波函数特征对MRTD算法的影响性分析[J].宇航学报,2011,32(11):2439-2444. |
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| 作者姓名： | 李学锋 权赫 |
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| 作者单位： | （北京航天自动控制研究所，北京 100854） |
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| 基金项目： | 收稿日期：20110316; \ 修回日期：20110612 |
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| 摘 要： | 时域多分辨分析法（MRTD）是电磁场仿真计算的新方法，其核心是时频分析的小波函数问题。为提高MRTD方法的计算效率和精度，如何选择Daubechies(db)小波函数的消失矩和紧支度成为MRTD算法应用中有待解决的问题。首先给出了一种在介质基底有损耗的情况下计算微带线间串扰的三维MRTD数学模型。其次研究db小波尺度函数的紧支度、消失矩特性对于MRTD算法的计算精度和效率的影响问题。最后通过对比基于 db1~db4 四种小波基的MRTD算法对PCB电路板微带线间串扰的仿真结果，得到在相同精度下，基于db2小波函数的MRTD算法计算效率最高，在db小波簇中是最优的结论。
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| 关 键 词： | 小波函数 MRTD 紧支性 消失矩 |
| 收稿时间： | 2011-03-16 |
Analysis of the Impact of Daubechies Wavelet Function Features in MRTD Method |
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| LI Xuefeng,QUAN He.Analysis of the Impact of Daubechies Wavelet Function Features in MRTD Method[J].Journal of Astronautics,2011,32(11):2439-2444. |
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| Authors: | LI Xuefeng QUAN He |
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| Affiliation: | （Beijing Aerospace Automatic Control Institute, Beijing 100854, China） |
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| Abstract: | The core of MRTD (multi\|resolution time domain) method is wavelet function, and it’s a new way in the filed of computational electromagnetics. The key problem need to be solved in MRTD is how to select compact support and vanishing moment of Daubechies wavelet function for improving computational efficiency and accuracy. In this paper, a new 3D MRTD method for crosstalk over lossy substrate of PCB was proposed. And then, the effect of researched compact support and vanishing moments of db function on computational efficiency and accuracy of MRTD method is researched. Making a comparison between PCB crosstalk results by MRTD method which was based on db1~db4 wavelet basis, db2 wavelet function is optimal in db wavelet cluster, because of the best efficiency in the same accuracy grade. |
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| Keywords: | Wavelet function MRTD Compact support Vanishing moment |
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